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Finding the Fourth Proportional to 2,330.89, 3,494.25 and 870.11

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Solution

The fourth proportional to 2,330.89, 3,494.25 and 870.11 is: 1,304.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.89 : 3,494.25 = 870.11 : x
  2. Step 2: Convert to fraction form
    2,330.89/3,494.25 = 870.11/x
  3. Step 3: Cross multiply
    2,330.89x = 3,494.25 × 870.11
  4. Step 4: Simplify right side
    2,330.89x = 3,040,362.22
  5. Step 5: Solve for x
    x = 3,040,362.22/2,330.89
  6. Step 6: Final answer
    x = 1,304.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.